Common fixed points theorems for fuzzy mappings

被引:25
作者
Kamran, Tayyab [1 ]
机构
[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Rawalpindi, Pakistan
关键词
Mapping - Topology - Fixed point arithmetic;
D O I
10.1016/j.chaos.2008.04.031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently, Abu-Donia [Abu-Donia HM. Common fixed points theorems for fuzzy mappings in metric space under phi contraction condition. Chaos, Solitons & Fractals 2007;34:538431 studied the Hausdorff metric between fuzzy subsets via its correspondence between the two classical sets and established two common fixed point theorems for two fuzzy mappings which are useful in geometric problems arising in high energy physics. However, the proofs of Abu-Donia's main results are incorrect. The purpose of this paper is to present correct proofs of these results. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1378 / 1382
页数:5
相关论文
共 10 条
[1]   Common fixed point theorems for fuzzy mappings in metric space under φ-contraction condition [J].
Abu-Donia, H. M. .
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :538-543
[2]   FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].
ASSAD, NA ;
KIRK, WA .
PACIFIC JOURNAL OF MATHEMATICS, 1972, 43 (03) :553-562
[3]   FIXED-POINTS FOR FUZZY MAPPINGS [J].
BUTNARIU, D .
FUZZY SETS AND SYSTEMS, 1982, 7 (02) :191-207
[4]   FIXED-POINTS OF GENERALIZED CONTRACTIVE MULTIVALUED MAPPINGS [J].
DAFFER, PZ ;
KANEKO, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 192 (02) :655-666
[5]   On a class of fuzzy Kahler-like manifolds [J].
El Naschie, MS .
CHAOS SOLITONS & FRACTALS, 2005, 26 (02) :257-261
[6]   On the unification of the fundamental forces and complex time in the ε(∞) space [J].
El Naschie, MS .
CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1149-1162
[7]   FUZZY MAPPINGS AND FIXED-POINT THEOREM [J].
HEILPERN, S .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 83 (02) :566-569
[8]   Multifractals and El Naschie E-infinity Cantorian space-time [J].
Iovane, G. ;
Chinnici, M. ;
Tortoriello, F. S. .
CHAOS SOLITONS & FRACTALS, 2008, 35 (04) :645-658
[9]   MULTI-VALUED CONTRACTION MAPPINGS [J].
NADLER, SB .
PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) :475-&
[10]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&